Comparing numerical methods for response of beams with moving mass

DOI10.1016/j.advengsoft.2010.05.006zbMath1312.74061OpenAlexW2047547488MaRDI QIDQ994238

Hasan Bulut, Omer Kelesoglu

Publication date: 17 September 2010

Published in: Advances in Engineering Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.advengsoft.2010.05.006

zbMATH Keywords

parabolic equationAdomian decomposition methodhomotopy perturbation method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Unsupervised identification of damage and load characteristics in time-varying systems

Cites Work

• Unnamed Item
• Unnamed Item
• On Adomian's decomposition method and some comparisons with Picard's iterative scheme
• Application of He's variational iteration method to Helmholtz equation
• Variational iteration method -- a kind of non-linear analytical technique: Some examples
• Exp-function method for nonlinear wave equations
• Application of homotopy perturbation method in nonlinear heat conduction and convection equations
• Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
• Application of He's variational iteration method to nonlinear Jaulent-Miodek equations and comparing it with ADM
• A coupling method of a homotopy technique and a perturbation technique for nonlinear problems
• Homotopy perturbation method for bifurcation of nonlinear problems
• Homotopy perturbation method: a new nonlinear analytical technique
• Homotopy perturbation method for solving boundary value problems
• The application of He's homotopy perturbation method to nonlinear equations arising in heat transfer
• A numerical solution of the coupled sine-Gordon equation using the modified decomposition method
• Blow-up solutions obtained using the decomposition method
• On the Solution of the Riccati Equation by the Decomposition Method
• Oscillations Of Solutions Of Initial Value Problems For Parabolic Equations By The Decomposition Method
• On a new theory of the dynamic behavior of the structures carrying moving masses
• SOME ASYMPTOTIC METHODS FOR STRONGLY NONLINEAR EQUATIONS
• Variational iteration method for autonomous ordinary differential systems